Renormalization of gauge theories without cohomology

Understand

We investigate the renormalization of gauge theories without assuming cohomological properties.

• We define a renormalization algorithm that preserves the Batalin-Vilkovisky master equation at each step and automatically extends the classical action till it contains sufficiently many independent parameters to reabsorb all divergences into parameter-redefinitions and canonical transformations.
• The construction is then generalized to the master functional and the field-covariant proper formalism for gauge theories.
• Our results hold in all manifestly anomaly-free gauge theories, power-counting renormalizable or not.